Hydrodynamic limit of the multi-component slow boundary WASEP with collisions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866914938401849344 |
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| author | Araújo, Oslenne Gonçalves, Patrícia Simas, Alexandre B. |
| author_facet | Araújo, Oslenne Gonçalves, Patrícia Simas, Alexandre B. |
| contents | In this article, we study the hydrodynamic limit for a stochastic interacting particle system whose dynamics consists in a superposition of several dynamics: the exclusion rule, that dictates that no more than a particle per site with a fixed velocity is allowed; a collision dynamics, that dictates that particles at the same site can collide and originate particles with new velocities such that the linear momentum is conserved; a boundary dynamics that injects and removes particle in the system. This last dynamics destroys the conservation law, and its strength is regulated by a parameter $θ$. The goal is the derivation of the hydrodynamic limit, and the boundary conditions change drastically according to the value of $θ$. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2304_03634 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Hydrodynamic limit of the multi-component slow boundary WASEP with collisions Araújo, Oslenne Gonçalves, Patrícia Simas, Alexandre B. Probability Analysis of PDEs In this article, we study the hydrodynamic limit for a stochastic interacting particle system whose dynamics consists in a superposition of several dynamics: the exclusion rule, that dictates that no more than a particle per site with a fixed velocity is allowed; a collision dynamics, that dictates that particles at the same site can collide and originate particles with new velocities such that the linear momentum is conserved; a boundary dynamics that injects and removes particle in the system. This last dynamics destroys the conservation law, and its strength is regulated by a parameter $θ$. The goal is the derivation of the hydrodynamic limit, and the boundary conditions change drastically according to the value of $θ$. |
| title | Hydrodynamic limit of the multi-component slow boundary WASEP with collisions |
| topic | Probability Analysis of PDEs |
| url | https://arxiv.org/abs/2304.03634 |